Engineering Mathematics (Vector Calculus, Laplace Transforms, Differential Equations, Complex Integration)

From 26 £ /h

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Location

Online from Netherlands

About Me

I am currently a postdoctoral researcher at Delft University of Technology

I like sharing my knowledge with others. I believe that teaching makes the knowledge I have acquired as a researcher much more valuable. In my idea, successful teachers have several qualities including knowledge, enthusiasm, and student-based teaching methods.

Education

PhD: Mechanical Engineering, Applied Design, 2016
Masters degree: Mechanical Engineering, Applied Design, 2011
Bachelors degree: Mechanical Engineering, Solid mechanics, 2008

Experience / Qualifications

My university teaching experience:
- Lecturer of Mechanical Engineering Design I, Materials Science, Dynamics, Engineering
Mathematics, Engineering Drawing I and II, Mechanics of Materials I and II
- Teaching assistant of Statics, Linear vibration, and Engineering drawing

Age

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

90 minutes

120 minutes

The class is taught in

English

Persian

Skills

Math

Calculus

Mechanical engineering

Reviews

Availability of a typical week

(GMT -05:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

LS-DYNA, ANSYS, MATLAB, ABAQUS, SolidWorks, and Finite Element Modelling (FEM) for Mechanical Engineering Design

25.1 £ /h

I hold a PhD in Mechanical Engineering and currently, I am working as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).

I have extensive experience in teaching various Mechanical design packages, including LS-DYNA, ANSYS, APDL programming, ABAQUS, MATLAB, SolidWorks, Cura, and Symbolic MATLAB.

Some of the finite element modeling and numerical simulations I have worked on include:
- Multiscale finite element modeling for fatigue crack propagation in porous materials.
- Analysis of multiple-layer sandwich structures' resistance to bird-strike impact [Read paper].
- Investigation of debonding propagation in aluminum and glass/epoxy composite joints under fatigue loading using Fracture Mechanics principles.
- Computational prediction of the fatigue behavior of additively manufactured porous metallic biomaterials.
- Study of the effect of material type, stacking sequence, and impact location on pedestrian head injury in collisions.

If you have any additional questions before starting the class, please don't hesitate to ask me. I am here to help! :)

Systematic Reasoning and Logical Thinking for Computer Science

26 £ /h

You will learn Systematic Reasoning & Logical Thinking which is a requirement for entering Computer Science program in many universities.
The book “Delftse Foundations of Computation” especially its second chapter will be the main source of our lesson, but other more in-depth books will be also covered if you want to improve even further on logical thinking.
The topics in our lesson include:
• Propositional Logic: Logical operators; Precedence rules; Logical equivalence; Implications in English; Exclusive or; Universal operators; Classifying propositions
• Boolean Algebra: Substitution laws
• Logic Circuits: Logic gates; Combining gates to create circuits; From circuits to propositions; Disjunctive Normal Form; Binary addition.
• Predicate Logic: Predicates; Quantifiers; Tarski’s world and formal structures;
• Deduction: Valid arguments and proofs; Proofs in predicate logic

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Benoit

5.0

(40)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Raef

5.0

(40)

Qualified and experienced teacher gives private lessons at home or online in Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology and Geology of the French or International IB program in English to students in Terminales, 1ère, Seconde, Brevet Concours and university preparatory classes. Online courses are given by a very modern, specific and professional method through a shared platform on Laptop or Tablet plus Zoom or Skype.
You can contact me for details.
I practice teaching since I was a student where I was first in my class.
Program and specific rates reduced to African countries and prepare CNED homework
My online student results were with VERY GOOD, GOOD AND EXCELLENT grades.
Do not hesitate to contact me for more information, guaranteed response in a few minutes up to 10 hours maximum.

Amin

5.0

(40)

This course aims to provide you with the knowledge and tools needed to better understand and master mathematics and physics. We offer personalized support to students of all specialties.

Sessions can be tailored to your specific needs, whether you are alone or in a group. We adjust the sessions according to your level and expectations.

Please do not hesitate to contact us if you have any questions.

Bibek

5.0

(40)

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Mohamed

5.0

(40)

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college.

My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject.

With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way.

By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge.

In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Salah

5.0

(40)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Baia

5.0

(40)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Narayan

5.0

(40)

Mathematics course(especially from the entrance exam perspective) taught by an engineering graduate with over 14 years of teaching experience in mathematics up to the undergraduate level. I also have more than 3 years of experience in teaching and guiding standardized tests such as the GRE and SAT. I can help you learn these standardized courses (GRE, SAT, and even TOEFL) more effectively.

I offer mathematics lessons for various levels of students, including Bachelor students, IB (Math SL and Math HL) students, A-level students, European S6 and S7 level students, GCSE students, and IGCSE students.

I also provide science courses in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students. Additionally, I offer Biology lessons for students up to the European Secondary level, GCSE level, and IGCSE level.

Currently, I am teaching a diverse range of students, including:
- GCSE students
- IGCSE students
- IB students
- European School students
- AS/A-level students
- Lycée Vauban students
- Athénée de Luxembourg students

I also provide homework help for school students, and student progress can be assessed through periodic tests as per the requirements of parents or the students themselves.

Note:
Please note that while some of my students may have courses taught in French, German, or Swedish, my primary teaching language is English. As the subject is mathematics, it is generally easy to understand the task at hand, and I explain the answers in English.

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Prashil

5.0

(40)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Sabrina

5.0

(40)

Hi I'm a college student, I have advanced knowledge in subjects like, algebra, calculous, math in general, physics, and some statistics. Also, I'm a native Spanish speaker, so I can also help you with grammar, pronunciation. My main goal is to help you understand the topics that you struggle with, because in my experience, sometimes what you need is a different approach of how things are done rather than it being too difficult.

Jeremy

5.0

(40)

IB Physics is one of the most technically demanding subjects at Diploma level. Success requires more than conceptual understanding — it requires structured exam execution.

This programme is designed for students aiming to move up grade boundaries through disciplined, examiner-aligned preparation.

Each student follows a structured performance cycle:

• Diagnostic assessment of current level
• Concept consolidation with precision
• Command term interpretation training
• Markscheme alignment and structured answer writing
• Timed past-paper simulation
• Error pattern analysis and refinement

Many capable students lose marks due to poor structure, misinterpreted command terms, or lack of exposure to examiner-style questions. These gaps are addressed directly.

Over the past year, students have improved by two to three grade boundaries within eight to ten weeks through targeted intervention and consistent practice.

Sessions are delivered online in a professional, interactive format and are suited to students preparing for mocks, final exams, or IA refinement.

Designed for serious students aiming for 6s and 7s.

Robin

5.0

(40)

My goal is simple: to make math understandable in a clear and logical way. Many students think they are "bad at math," when they simply need different and structured explanations.

During my classes, we work on:

The fundamental basics (calculation, fractions, equations)
Algebra
Functions
Geometry
Trigonometry
Probability (school level)
Preparing for tests and exams

I adapt to each student's level and pace. I explain step by step and provide simple methods for solving exercises effectively.

The goal is not just to pass a test, but to truly understand the logic behind mathematics.

Chiraz

5.0

(40)

French version :
- Spécialisée en spé maths pour les élèves au lycée (seconde/première/terminale) et en maths niveau collège pour les élèves qui passent le DNB (6e,5e,4e,3e).
- Je m’adapte aux méthodes d’apprentissage et aux formats de cours avec lesquels l’élève est à l’aise pour favoriser l’apprentissage actif et sur le long terme. J’apporte un soutien 100% personnalisé aux besoins de l’élève avec un suivi continu et des exercices ciblés.
- Cours de français pour collège adaptés au programme de chaque école et des approfondissements en grammaire, orthographe, rédaction et vocabulaire. Exercices en fonction de l’objectif académique des élèves.
- Cours physique et chimie pour tous les âges jusqu’au collège.
- Cours de français pour tous les âges et niveaux.

English version :
- I specialise in tutoring maths for the French Baccalaureate and the DNB. For better understanding, I can happily teach in both languages (fr/en).
I can teach in every other program (IB, EB, GCSE, A-levels) as long as the class material is sent to me beforehand so I can prepare my courses to fit perfectly to the student and make exercises exactly how the program requires it.
- French lessons for the DNB.
- Physics and Chemistry for middle school students and younger.
- My French classes are open to everyone at every level ! :) Practicing with a native speaker will make you learn faster and more naturally.

Kristina

5.0

(40)

🎓 Entrance Exam & Independent School Preparation 🎓
I offer tailored tutoring for children preparing for independent school entrance exams such as he 7+ and 11+ exams. My focus is on helping students become comfortable with exam formats and approaches, so they can walk into their exams feeling calm and prepared, whether in one-on-one or small group settings.

If you are interested in group sessions but don’t yet have a group in mind, feel free to let me know! I’m happy to match learners with similar goals so we can create a small, friendly group together for fun and affordable tutoring.